Final answer:
The number 99 has two significant figures, while 100 also typically has two unless otherwise specified with a decimal. The percent uncertainty is 1.01% for 99 and 1% for 100. The choice between expressing accuracy with significant figures or percent uncertainties depends on whether relative or absolute precision is required.
Step-by-step explanation:
The question provided seems to be a mix of unrelated statements, possibly due to typos or transcription errors. However, focusing on the concepts of significant figures and percent uncertainty which are related to error analysis in measurements, we can answer the structured question about these topics.
Significant Figures and Percent Uncertainty
(a) The number 99 has two significant figures, and the number 100 also has two significant figures when considering conventional rules, as trailing zeros in a whole number without a decimal point are not considered significant. However, if expressed as 100. to indicate precision, it would have three significant figures.
(b) The percent uncertainty of a measurement is calculated by dividing the uncertainty by the measured value and then multiplying by 100 to convert it into a percentage. For the number 99 with an uncertainty of 1, the percent uncertainty is (1/99) × 100 = 1.01%. For the number 100 with the same uncertainty of 1, the percent uncertainty is (1/100) × 100 = 1%.
(c) The more meaningful way to express the accuracy of the numbers 99 and 100 depends on the context. If consistent uncertainty is important, percent uncertainty provides a relative measure of uncertainty irrespective of the size of the number. If absolute precision is the focus, significant figures are more appropriate as they indicate the number of digits believed to be correct.